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Finding the Third Proportional to 232,408.13 and 492,724.13

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Solution

The third proportional to 232,408.13 and 492,724.13 is: 1,044,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,408.13 : 492,724.13 = 492,724.13 : x
  2. Step 2: Convert to fraction form
    232,408.13/492,724.13 = 492,724.13/x
  3. Step 3: Cross multiply
    232,408.13x = 492,724.13 × 492,724.13
  4. Step 4: Simplify right side
    232,408.13x = 242,777,063,357.02
  5. Step 5: Solve for x
    x = 242,777,063,357.02/232,408.13
  6. Step 6: Final answer
    x = 1,044,615.21

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.